2 papers
math.GT2026
Characterization of non-self OU sequences of two-component link diagrams
Naoki Sakata, Ayaka Shimizu, Koya Shimokawa
A non-self OU sequence is a cyclic sequence of crossing information of non-self crossings that is obtained by traversing a knot component of an oriented link diagram. In this paper…
math.GT2026
The OU number and Reidemeister moves of type III for link diagrams
Naoki Sakata, Ayaka Shimizu, Koya Shimokawa
We introduce the non-self OU sequence and the OU number for link diagrams. Using these, we give a lower bound for the number of necessary Reidemeister moves of type III between two…